Ibrahim Assem,
Université de Sherbrooke
Research areas: representation theory of algebras, cluster algebras, homological algebra, category theory, rings and modules.
Véronique Bazier-Matte,
Université Laval
Research areas: cluster algebras, representation theory of algebras, knot theory, triangulation of marked surfaces.
François Bergeron,
UQAM (Mathématiques)
François Bergeron's research involves the study of interesting interactions between algebraic structures (spaces of diagonal harmonic polynomials, representations of reflection groups, etc.) and combinatorial objects (trees, integer partitions, permutations, Catalan structures, parking functions, etc.).
Thomas Brüstle,
Université de Sherbrooke
Research interests: Homological algebra, representation theory, topological data analysis, exact categories and structures.
Samuele Giraudo,
UQAM (Informatique)
Samuele Giraudo's research is centered at the intersection of combinatorics, algebra, and theoretical computer science. The primary goal of his research is to develop novel methods for counting and enumerating a wide range of combinatorial objects, including trees, permutations, words, and heaps of pieces.
Alain Goupil,
UQTR
Research areas: Combinatorics, algebra, symmetric groups, enumeration
Sylvie Hamel,
Université de Montréal
Research areas: Bioinformatics, languages and automata theory, combinatorics on words, Macdonald polynomials and symmetric functions
Christophe Hohlweg,
UQAM (Mathématiques)
Christophe Hohlweg's primary area of research is combinatorial group theory, and his favorite themes are Coxeter groups, reflections groups and their related structures. His research program sits at the interface of algebraic and geometric combinatorics.
Joel Kamnitzer,
McGill University
Joel Kamnitzer's research concerns complex reductive groups and their representations, with a particular interest in geometric and algebraic approaches to this study, especially the geometric Satake correspondence.
Ryan Kavanagh,
UQAM (Informatique)
Ryan Kavanagh aims to develop tools and techniques that help practitioners correctly specify, implement, and reason about concurrent and communicating systems. His current work involves designing and reasoning about the logical foundations of programming languages for concurrency.
Jean-Philippe Labbé,
ETS Montréal
Jean-Philippe Labbé's research is at the intersection of combinatorics, discrete geometry and group theory. His research merges abstract modelizations and computational experimentations to tackle open problems related to Coxeter groups, polytopes (in particular permutahedra, associahedra, and their applications to quantum physics), triangulations, and simplicial complexes.
Gilbert Labelle,
UQAM (Mathématiques)
Research interests: theory of complex polynomials, special functions, numerical analysis, theory of combinatorial species (computational methods, asymmetric structures, combinatorial models for Lagrange inversion, iterative schemes, $q$-analogues, various classes of tree structures, etc.), asymptotic analysis, applications of symbolic computation.
Benoît Larose,
Collège Champlain à St-Lambert / UQAM
Benoît Larose is interested in the algorithmic complexity of constraint satisfaction problems, graph homomorphisms, applications of algebra and algebraic topology to these domains, as well as universal algebra and extremal combinatorics.
Jake Levinson,
Université de Montréal
Jake Levinson is primarily interested in algebraic geometry and algebraic combinatorics. His current research involves moduli of stable curves, Schubert calculus, toric varieties and equivariant free resolutions.
Vladimir Makarenkov,
UQAM (Informatique)
Vladimir Makarenkov's research focuses mainly on bioinformatics, data analysis, and machine learning.
Alejandro Morales,
UQAM (Mathématiques)
Research areas: Enumerative and Algebraic Combinatorics
Christophe Reutenauer,
UQAM (Mathématiques)
Algebraic Combinatorics, finite automata, variable-length codes, free Lie algebras, non commutative algebra, free fields, descent algebras, symmetric and quasi-symmetric functions, combinatorics on words, Sturmian sequences, Christoffel words, non commutative rational series, Hilbert schemes, Markoff numbers
Vladimir Reinharz,
UQAM (Informatique)
Vladimir Reinharz's research focuses on Computational Biology and Evolution, particularly the design of new algorithms to study RNA molecules and viral infections.
Franco Saliola,
UQAM (Mathématiques)
Franco Saliola's area of research is algebraic combinatorics. His research program developed from explorations into algebraic structures arising from random walks on the chambers of hyperplane arrangements; and has naturally expanded to include the representation theory of symmetric groups and general linear groups.
Hugh Thomas,
UQAM (Mathématiques)
Hugh Thomas's research aims to understand better the combinatorial structures present in the theory of representations of finite dimensional algebras. He also studies links between representation theory and scattering amplitudes in quantum field theory.
Postdoctoral Fellows
Jose Bastidas,
PhD (Cornell University, 2021)
Dr. Bastidas's research interests lie in algebraic combinatorics with a particular focus on the interplay between Hopf monoids in the category of Species and hyperplane arrangements.
Sarah Brauner,
PhD (University of Minnesota, 2023)
Dr. Brauner is interested in the intersection of algebraic combinatorics with representation theory, algebraic topology, algebraic geometry and probability. Some keywords of interest: hyperplane arrangements; configuration spaces; left regular bands; random walks.
GaYee Park,
PhD (University of Massachusetts Amherst, 2022)
Dr. Park works with tableaux and posets in connection with symmetric functions and \(GL(n,q)\). She is currently studying generalized Catalan combinatorics and parking functions, and combinatorial appraoches to plethysm in symmetric functions.
Luis Scoccola,
PhD (University of Western Ontario, 2020)
Dr. Scoccola's reseach lies at the intersection of mathematics and computer science: computational topology & geometry, representation theory, and machine learning.